Finding the Third Proportional to 116,932 and 176,182

Step by Step Solution

1. Step 1: Write the proportion equation
   116,932 : 176,182 = 176,182 : x
2. Step 2: Convert to fraction form
   116,932/176,182 = 176,182/x
3. Step 3: Cross multiply
   116,932x = 176,182 × 176,182
4. Step 4: Simplify right side
   116,932x = 31,040,097,124
5. Step 5: Solve for x
   x = 31,040,097,124/116,932
6. Step 6: Final answer
   x = 265,454.26